This authoritative text studies pseudodifferential and Fourier integral operators in the
framework of time-frequency analysis, providing an elementary approach, along with …

Let X be a ball quasi-Banach function space on ℝ n. In this article, we introduce the weak
Hardy-type space WHX (ℝ n), associated with X, via the radial maximal function. Assuming …

We perform Wigner analysis of linear operators. Namely, the standard time-frequency
representation Short-time Fourier Transform (STFT) is replaced by the A-Wigner distribution …

To overcome the impossibility of representing the energy of a signal simultaneously in time
and frequency, many time–frequency representations have been introduced in the literature …

To tackle a challenge in high-dimensional complex features information processing, this
study extends the permanent scale Wigner distribution and the single scale-Wigner …

The metaplectic operator has shown to be a valid technique for generalizing the notion of
cross Wigner distribution to achieve time-frequency superresolution. Inspired by the latest …

The Wigner distribution is a milestone of Time–frequency Analysis. In order to cope with its
drawbacks while preserving the desirable features that made it so popular, several kinds of …

The celebrated τ-Wigner distribution (τ-WD), a generalization of the ordinary Wigner
distribution (WD), has attracted much attention in the literature for its wide use in time …

To raise the noisy linear frequency-modulated (LFM) signal detection threshold without
sacrificing the computing performance, this study employs the well-known τ-Wigner …

We study a class of quadratic time-frequency representations that, roughly speaking, are
obtained by linear perturbations of the Wigner transform. They satisfy Moyal's formula by …